{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 作业\n",
    "\n",
    "1. 画图解释图像卷积滤波的基本原理，并进一步简述常见的图像平滑滤波算法。 \n",
    "2. 简述边缘检测的基本原理，以及Sobel、LoG和Canny算子的原理差异。 \n",
    "3. 简述图像直方图的基本概念，及使用大津算法进行图像分割的基本原理。 \n",
    "4. 简述Harris算子对角点的定义，进行角点检测的基本原理，并说明引入角点响应函数的意义。 \n",
    "5. 简述Hough变换的基本原理(包括参数空间变换及参数空间划分网格统计)。 \n",
    "6. 简述SIFT原理(重点是尺度空间和方向直方图原理)及ORB算子原理(重点是FAST和BRIEF)。\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. 画图解释图像卷积滤波的基本原理，并进一步简述常见的图像平滑滤波算法。\n",
    "\n",
    "![image.png](attachment:image.png)\n",
    "\n",
    "简述：卷积计算是原图每个像素点的灰度和算子的对应的数值进行相乘求和，并将得到的值放置于处理过的图像中。平滑滤波就是利用这一种计算原理，将一些单独存在的噪点，这些噪点的特点是灰度与周围像素很不一致，给消除掉。\n",
    "\n",
    "常见的平滑滤波算法有：\n",
    "* 平均滤波——在一个算子中，求一个平均值。如图\n",
    "![image.png](attachment:image.png)\n",
    "* 加权平均滤波——在一个算子中，将一些像素点的值加权，并求平均值。如图\n",
    "![image.png](attachment:image.png)\n",
    "* 中指滤波——将一个区域的灰度值从小到大排列，然后取中值。如图\n",
    "![image.png](attachment:image.png)\n",
    "* 开闭运算滤波——开为膨胀操作，闭为腐蚀操作，先开后闭可以消除噪音。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "#### 1.1 第一课课后作业\n",
    "1. 以Lena为原始图像，通过OpenCV实现平均滤波，高 斯滤波及中值滤波，比较滤波结果 \n",
    "2. 以Lena为原始图像，通过OpenCV实现数学形态学先 开后闭运算，与作业1得到结果进行比较\n",
    "\n",
    "参考资料：\n",
    "\n",
    "https://blog.csdn.net/jnulzl/article/details/47751983  \n",
    "https://blog.csdn.net/sunny2038/article/details/9137759"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import cv2 as cv\n",
    "import numpy as np\n",
    "\n",
    "# 初始化\n",
    "img = cv.imread(r'C:\\Users\\PPL\\Documents\\AI\\AI_python\\data\\lena.jpg')\n",
    "cv.imshow(\"Original\", img)\n",
    "cv.waitKey()\n",
    "\n",
    "# 平均滤波\n",
    "blr = np.hstack([cv.blur(img, (3, 3)),\n",
    "                 cv.blur(img, (5, 5)),\n",
    "                 cv.blur(img, (7, 7))])\n",
    "cv.imshow(\"Average\", blr)\n",
    "cv.waitKey()\n",
    "\n",
    "# 高斯滤波\n",
    "gau = np.hstack([cv.GaussianBlur(img, (3, 3), 0),\n",
    "                 cv.GaussianBlur(img, (5, 5), 0),\n",
    "                 cv.GaussianBlur(img, (7, 7), 0)])\n",
    "cv.imshow(\"Gaussian\", gau)\n",
    "cv.waitKey()\n",
    "\n",
    "# 中值滤波\n",
    "med = np.hstack([cv.medianBlur(img, 3),\n",
    "                     cv.medianBlur(img, 5),\n",
    "                     cv.medianBlur(img, 7)\n",
    "                     ])\n",
    "cv.imshow(\"Med\", med)\n",
    "cv.waitKey()\n",
    "\n",
    "# 形态学滤波\n",
    "element = cv.getStructuringElement(cv.MORPH_CROSS, (5, 5))\n",
    "\n",
    "# 开运算\n",
    "opened = cv.morphologyEx(img, cv.MORPH_OPEN, element)\n",
    "# 闭运算\n",
    "closed = cv.morphologyEx(opened, cv.MORPH_CLOSE, element)\n",
    "cv.imshow(\"MOR\", closed)\n",
    "cv.waitKey()\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. 简述边缘检测的基本原理，以及Sobel、LoG和Canny算子的原理差异。\n",
    "https://blog.csdn.net/zuliang001/article/details/81478633\n",
    "详细sobel算子的介绍： https://blog.csdn.net/u014020344/article/details/50196635 \n",
    "边缘检测的基本原理是，边缘通常有着明显的灰度变化。通过算子进行卷积计算，进行微分，可以得到灰度变化的极值，从而检测出图像边缘。\n",
    "\n",
    "* Sobel\n",
    "![image.png](attachment:image.png)\n",
    "* Laplace——Laplace算子相对于Sobel算子来说，是二阶偏导，所以他所得到的一个结果应该是一个二阶图像。由于差分会放大噪声，所以Laplace算子不适用于噪音较大的图像中。\n",
    "![image.png](attachment:image.png)\n",
    "* LoG——LoG算子基于Laplace算子发展而来，加入了高斯滤波从而实现降低噪音的效果。相当于先高斯滤波，再Laplace运算。\n",
    "![image.png](attachment:image.png)\n",
    "* Canny——Canny的特点是解决边缘断裂及噪音的影响。先平滑，再微分，再抑制非极大值，重新连接边缘。\n",
    "![image.png](attachment:image.png)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2 as cv\n",
    "import numpy as np\n",
    "\n",
    "# Reference\n",
    "# https://blog.csdn.net/sunny2038/article/details/9170013\n",
    "\n",
    "# 初始化\n",
    "img_g = cv.imread(r'C:\\Users\\PPL\\Documents\\AI\\AI_python\\data\\lena.jpg', 0)\n",
    "cv.imshow(\"Original\", img_g)\n",
    "cv.waitKey()\n",
    "\n",
    "# 高斯模糊去噪\n",
    "img_g_Gau = cv.GaussianBlur(img_g, (3, 3), 0)\n",
    "cv.imshow(\"Gaussian\", img_g_Gau)\n",
    "cv.waitKey()\n",
    "\n",
    "# Sobel边缘检测\n",
    "sob = np.hstack([cv.Sobel(img_g_Gau, -1, 1, 1, ksize=3),\n",
    "                 cv.Sobel(img_g, -1, 1, 1, ksize=3)])\n",
    "cv.imshow(\"Sobel\", sob)\n",
    "cv.waitKey()\n",
    "\n",
    "# LaPlacian边缘检测\n",
    "lap = np.hstack([cv.Laplacian(img_g_Gau, -1, ksize=3),\n",
    "                 cv.Laplacian(img_g, -1, ksize=3)])\n",
    "cv.imshow(\"Lapacian\", lap)\n",
    "cv.waitKey()\n",
    "\n",
    "# Canny边缘检测\n",
    "can = np.hstack([cv.Canny(img_g_Gau, 50, 150),\n",
    "                 cv.Canny(img_g, 50, 150)])\n",
    "cv.imshow(\"Canney\", can)\n",
    "cv.waitKey()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. 简述图像直方图的基本概念，及使用大津算法进行图像分割的基本原理。   \n",
    "\n",
    "* 直方图其实就是将一幅图的不同灰度级别的像素在图中出现的频率或者概率以柱状图的形式展示的图。  \n",
    "* 灰度阈值分割，将不同范围的灰度进行归类，使得整副图的灰度分为1和0两种，从而使得主题与背景分开。\n",
    "* Otsu算法就是利用灰度阈值分割的一种算法，通过遍历所有灰度值，把不同的灰度进行归类，让类间方差最大，从而达到背景主题分开的效果。\n",
    "* 除了Otsu算法之外，我们还可以利用区域生长的方法进行灰度阈值分割，这种方法是利用像素之间相似性进行分割。"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. 简述Harris算子对角点的定义，进行角点检测的基本原理，并说明引入角点响应函数的意义。\n",
    "\n",
    "Harris算子的计算原理是将一个小窗口在图像中扫描，并对窗口的像素灰度进行积分：\n",
    "* 当扫描的图像是一个平缓的区域的时候，积分变化不大。\n",
    "* 当扫描的图像是一个区域的边缘的时候，单方向的积分变化较大，而另一个方向积分变化不大。\n",
    "* 当扫描的图像是一个角点的时候，两个方向的积分变化都很大。\n",
    "\n",
    "但是，对于一个图像的扫描来说，积分变化的大小是一个较主观的定义，如果场景的整体反差比较小的话，积分的变化较小也可能是角点，而场景的整体反差较大的话，积分变化较大也有可能不是角点。所以这里需要有一个标尺来确定变化的大小。于是我们引入角点相应函数。\n",
    "![image.png](attachment:image.png)"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5. 简述Hough变换的基本原理(包括参数空间变换及参数空间划分网格统计)。\n",
    "\n",
    "Hough变换的基本原理是，在x-y坐标系和极坐标系方程 p = x * cos(theta) + y * sin(theta) 的对应方程，将y对x的变化转为theta对p的变化作图，一条在x-y坐标系下的直线上的各点对应极坐标系下的正弦函数会交于同一点。\n",
    "\n",
    "根据这一原理，我们可以在(p, theta)空间中，把空间分割成许多个小格，因为p取值为0~1，theta取值为0~360°，所以我们可以在有限的空间中按需要分割空间。然后根据xy空间的各个直线点代入(p, theta)空间，设置一个阈值，如果某小格中的点数高于某个阈值，即可判断xy坐标上有对应直线。"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
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   "source": [
    "### 6. 简述SIFT原理(重点是尺度空间和方向直方图原理)及ORB算子原理(重点是FAST和BRIEF)。\n",
    "\n",
    "#### SIFT\n",
    "SIFT的原理是通过不同分辨率看一个图像，通过不同尺度的高斯模糊实现。  \n",
    "尺度空间的原理，是通过不同程度的高斯模糊，以及降采样，得到一系列不同大小，不同模糊程度的图像，从而实现模拟人眼的效果。为了实现这个效果，我们使用的方法是构建高斯金字塔，通过隔点采样实现不同层级有不同大小的图像。\n",
    "方向直方图我也不是很懂，根据我的理解，是对像素进行偏导，然后得到梯度，再将所有梯度进行收集，记录为直方图。\n",
    "\n",
    "#### ORB\n",
    "ORB算法是两个算法的优化和结合，这两个算法分别是是oFAST和rBRIEF。\n",
    "\n",
    "##### oFast\n",
    "* 特征提取-粗提取，从像素中画一个圆，然后连续N个像素比该点的灰度值大或者小，则认为该点为特征点。该算法还可以通过优化提高特征提取速度。\n",
    "* 确定最有特征点-通过对特征点进行分类，得到不同的子集，然后设置一个布尔变量，如果是角点就TRUE，否则为FALSE，然后不知道老师在说什么了。。。\n",
    "![image.png](attachment:image.png\n",
    "* 在得到一系列的特征点之后，通过非极大值抑制，减少误判。\n",
    "\n",
    "##### rBRIFE\n",
    "* 一种特征描述算法。（什么是特征描述）\n"
   ]
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